807 Answered Questions for the topic Calculus 1

Calculus 1

10/05/16

derivative of 6/lnx
Need worked out solution and answer.
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Calculus 1

10/05/16

derivative of sin(5lnx)
I need the answer and worked out solution.
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Expert Answers •1
Calculus 1

10/04/16

Tickets for a raffle cost $ $9. There were 632 tickets sold. One ticket will be randomly selected as the winner, and that person wins $ $2000 and also the per
Tickets for a raffle cost $9. There were 632 tickets sold. One ticket will be randomly selected as the winner, and that person wins $2000 and also the person is given back the cost of the ticket.... more
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Calculus 1

10/04/16

Implicit Differentiation - Calculus
 Need to find slope of tangent line to curve 5(x^2 + y^2)^2 = 169(x^2-y^2) at point (3,-2) . It is implicit differentiation but I keep getting the wrong value at 3,-2. I'm not sure if I am... more
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10/02/16

explain how the graph of y=4(cube root of (x+2))-5 can be obtained by transforming the graph of y=cube root of x
Need help explaining how to do this, I am not understanding how exactly the transformation can be explained
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Calculus 1

09/28/16

Word Problem
In 1626, Peter Minuit traded trinkets worth $24 for land on Manhattan Island. Assume that in 2014 the same land was worth $1 trillion. Find the annual rate of interest compounded continuously at... more
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09/26/16

Find k so that the line y = 3x-4 is tangent to the graph of f(x) = x^2 + kx.
I got k = 7, -1 using substitution on  2x+k = 3 and x^2 + kx = 3x - 4. Is this correct?
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Calculus 1

09/25/16

Suppose the line tangent to the graph of f at x=3 is y=6x+4, and suppose y = 4x-5 is the line tangent to the graph of g at x = 3.
Find the line tangent to the following curves at x = 3. y = f(x)g(x)
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09/25/16

explain how many elements are in the range of (f of f)(x) if f(x) defines a constant function over (-infinity,infinity)
I am unsure about how to properly solve this question
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Calculus 1

09/25/16

How do you find the limit algebraically for this problem?
lim     (x-4)/((√x) -2) x→4+
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09/25/16

(tanx+sqrt(3))/(x-2pi/3)
What is the limit as x approaches 2pi/3.
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Calculus 1 Limits

09/21/16

(sin(p-x))/(p-x)
Find the limit as x approaches π (pi).
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09/13/16

Solving for t in this equation.
205e0.005t = 280 + t   Please help me solve for t. I would like to know how to do it by hand.   
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Calculus 1

08/22/16

Find the domain of the function. f(x) = x + 4 x2 - 4
 (Enter your answer using interval notation.
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Calculus 1 Volume Box Problem

08/22/16

A box is to be constructed from a sheet of cardboard that is 10 cm by 50 cm by cutting out squares of length x by x from each corner and bending up the sides.
What is the maximum volume this box could have? Here is my work. Do you agree?   Step 1: (50-2x)(10-2x)(x) Step 2: 500-100x-20x+4x^2) (x) Step 3: 4x^3-120x^2+500x Step 4: dv/dx    ... more
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Calculus 1

08/17/16

How do you simplify using a single logarithm: log (A^3)- log (B^(2/3))+ log (A^(1/3)+ log (B^(5/3))
How do you simplify using a single logarithm: log (A3)− log (B2/3)+ log (A1/3)+ log (B5/3)
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Calculus 1

08/15/16

Find the derivative f(x)= 1/(x-1)
I need help finding the derivative of this question. I'm not sure what to do adter getting the least common denominator the same. 
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Calculus 1 Math Calculus College

08/01/16

Find the open interval(s) on which the function f(x) = cos^2(6x) is increasing in the interval (0,2.094)
Round to the nearest three decimal places. I'm not sure if i should take the derivative and then solve for 0. Using critical values. I'm very confused and my notes are no help. 
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Calculus 1 Math Calculus Alegrba

08/01/16

Find the point on the graph of the function f(x) = (x+1)^2 that is closest to the point (-4,2) Round all numerical values in your answer to four decimal places.
I have tried so many ways and I'm just stuck. It's really confusing because other examples are not the same.
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Calculus 1

07/03/16

What is the average rate of change of the function y = 4x^3 - 2 between x = x1 and x = x2
Answers: a. 4(x2^2 + x2x1 − x1^2)b. 4(x2^2 − x2x1 + x1^2)c. 4(x2^2 − x2x1 − x1^2)d. 4(x2^2 + x2x1 + x1^2)
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Calculus 1

06/29/16

question is in the description
a car leaves an intersection traveling west. Its position 4 sec later is 20 ft from the intersection. At the same time, another car leaves the intersection heading north so that its position t sec... more
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Calculus 1

06/29/16

question is in description.
a car leaves an intersection traveling west. Its position 4 sec later is 20 ft from the intersection. At the same time, another car leaves the intersection heading north so that its position t sec... more
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Calculus 1

06/29/16

see details for question
a coat of paint of thickness 0.05 cm is to be applied uniformly to the faces of a cube of edge 30 cm. Use differentials to find the approximate amount of paint required for the job
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Calculus 1 Calculus Derivatives

06/17/16

Find all the second partial derivatives of the function below. (Hint: there are 4)
Having difficulty finding them I can only find one       ??(??,??)=2??^5 ??^2+??^2 ??
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Calculus 1

06/01/16

f (x) = vx + 1 ; (15, 4) (a) Find an equation of the tangent line to the graph of f at the given point
f (x) = √x + 1 ; (15, 4)(a) Find an equation of the tangent line to the graph of f at the given point
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